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Finding the Fourth Proportional to 78,071.44, 117,070.70 and 28,144.96

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Solution

The fourth proportional to 78,071.44, 117,070.70 and 28,144.96 is: 42,204.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,071.44 : 117,070.70 = 28,144.96 : x
  2. Step 2: Convert to fraction form
    78,071.44/117,070.70 = 28,144.96/x
  3. Step 3: Cross multiply
    78,071.44x = 117,070.70 × 28,144.96
  4. Step 4: Simplify right side
    78,071.44x = 3,294,950,168.67
  5. Step 5: Solve for x
    x = 3,294,950,168.67/78,071.44
  6. Step 6: Final answer
    x = 42,204.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.